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Finding the Fourth Proportional to 641.85, 962.43 and 410.62

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Solution

The fourth proportional to 641.85, 962.43 and 410.62 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.85 : 962.43 = 410.62 : x
  2. Step 2: Convert to fraction form
    641.85/962.43 = 410.62/x
  3. Step 3: Cross multiply
    641.85x = 962.43 × 410.62
  4. Step 4: Simplify right side
    641.85x = 395,193.17
  5. Step 5: Solve for x
    x = 395,193.17/641.85
  6. Step 6: Final answer
    x = 615.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.